Details

sample86.0ms

Algorithm

intervals

Results

24.0ms	290×	body	80	valid
21.0ms	314×	body	80	nan

simplify11.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4656
11	4223
10	3648
9	2447
8	1533
7	1052
6	767
5	454
4	213
3	94
2	51
1	25
0	11

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

42.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
116.0ms	(+ (- 1.0 z) (log z))
214.0ms	(* y (+ (- 1.0 z) (log z)))

series1.2s

Counts

3 → 9

Calls

3 calls:

184.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
513.0ms	(+ (- 1.0 z) (log z))
447.0ms	(* y (+ (- 1.0 z) (log z)))

simplify4.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5011
2	1532
1	373
0	132

prune712.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (* y (- (+ (log z) 1.0) z)))
0.0b	(+ (log z) 1.0)
0.0b	(- (+ (log z) 1.0) z)
0.1b	(* y (- (+ (log z) 1.0) z))

rewrite833.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-log-exp`
9×	`pow1`
7×	`add-cube-cbrt` `associate-r`
6×	`add-exp-log` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
5×	`sub-neg` `associate--l+`
3×	`associate-+l+` `log-prod` `associate-l` `sum-log` `log-pow`
2×	`+-commutative` `flip3--` `flip3-+` `diff-log` `associate-*r/` `flip--` `flip-+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

84.0ms	(+ (* x 0.5) (* y (- (+ (log z) 1.0) z)))
30.0ms	(+ (log z) 1.0)
192.0ms	(- (+ (log z) 1.0) z)
470.0ms	(* y (- (+ (log z) 1.0) z))

series1.6s

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (* x 0.5) (* y (- (+ (log z) 1.0) z)))
481.0ms	(+ (log z) 1.0)
361.0ms	(- (+ (log z) 1.0) z)
541.0ms	(* y (- (+ (log z) 1.0) z))

simplify3.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1411
1	397
0	152

prune968.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize314.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

22.0ms	(* (cbrt z) (cbrt z))
11.0ms	(cbrt z)
2.0ms	(cbrt z)
9.0ms	(cbrt z)

series1.9s

Counts

4 → 12

Calls

4 calls:

460.0ms	(* (cbrt z) (cbrt z))
437.0ms	(cbrt z)
393.0ms	(cbrt z)
566.0ms	(cbrt z)

simplify7.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	3625
3	1001
2	372
1	137
0	61

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize250.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ (log z) 1.0) z))
0.5b	(cbrt (- (+ (log z) 1.0) z))
0.5b	(cbrt (- (+ (log z) 1.0) z))
0.5b	(* (cbrt (- (+ (log z) 1.0) z)) (cbrt (- (+ (log z) 1.0) z)))

rewrite534.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
77×	`cbrt-prod`
39×	`distribute-lft-out--`
37×	`add-sqr-sqrt`
26×	`distribute-lft-out`
24×	`pow1`
22×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
13×	`log-pow`
10×	`associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 123

Calls

4 calls:

38.0ms	(cbrt (- (+ (log z) 1.0) z))
43.0ms	(cbrt (- (+ (log z) 1.0) z))
48.0ms	(cbrt (- (+ (log z) 1.0) z))
392.0ms	(* (cbrt (- (+ (log z) 1.0) z)) (cbrt (- (+ (log z) 1.0) z)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (- (+ (log z) 1.0) z))
97.0ms	(cbrt (- (+ (log z) 1.0) z))
108.0ms	(cbrt (- (+ (log z) 1.0) z))
145.0ms	(* (cbrt (- (+ (log z) 1.0) z)) (cbrt (- (+ (log z) 1.0) z)))

simplify5.7s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2141
1	658
0	246

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes2.2s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch5.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end4.0ms

sample8.9s

Algorithm

intervals

Results

4.7s	9159×	body	80	nan
3.3s	9160×	body	80	valid